Least Common Multiple of 11/32, 50/52, 13/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 11/32, 50/52, 13/310 quickly i.e. 3575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/32, 50/52, 13/310 is 3575.

LCM(11/32, 50/52, 13/310) = 3575

LCM of 11/32, 50/52, 13/310

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 11/32,50/52,13/310

Given numbers are 11/32,50/52,13/310

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 11,50,13

Least Common Multiple of Numerators i.e. LCM of 11,50,13 is 7150.

GCF of Denominators means GCF of 32,52,310 as per the given fractions.

GCF of 32,52,310 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,50,13

LCM of Fractions 11/32,50/52,13/310 is 3575

Given numbers has no common factors except 1. So, there LCM is their product i.e 7150

Least Common Multiple of 11,50,13 with GCF Formula

Least Common Multiple of 11,50,13 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 11,50,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,50,13) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(11,50,13) x common factors =1 x 1 = 1

LCM(11,50,13) = ( 11 × 50 × 13 ) / 1

LCM(11,50,13) = 7150 / 1

LCM(11,50,13) = 7150


Lets's calculate GCF of 32,52,310

2 32, 52, 310
16, 26, 155

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7150/2

Therefore the LCM of Fractions 11/32,50/52,13/310 is 3575

Greatest Common Factor of 32,52,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,52,310 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 32,52,310 . The biggest common factor number is the GCF number.
So the greatest common factor 32,52,310 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 11/32, 50/52, 13/310

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 11/32, 50/52, 13/310?

Answer: LCM of Numerators as per given numbers 11/32, 50/52, 13/310 is

LCM of Numerators i.e. for 11,50,13 is 7150

GCF of denominators i.e. for 32,52,310 is 2.

Thus, LCM of Fractions is 3575.Finally, LCM of Fractions for 11/32, 50/52, 13/310 is 3575.